Understanding the famously complex Inter-universal Teichmüller Theory could solve mathematics' greatest problems.

The Inter-universal Teichmüller Theory, an infamous proof that has confounded mathematicians for over a decade, has been ...

“Why look for a counterexample if the conjecture is so obviously true?” wrote Igor Pak, a math professor at UCLA and one of the authors of the new paper, in a blog post on the breakthrough.

Since the conjecture was already known to be true ... seem to be this emerging sort of principle that higher-dimensional geometry is just nasty,” Tao said. “That pathologies can show up ...

That changed, however, when Haag and Kertzer’s explorations produced data that called a well-known math conjecture into question. The local-global conjecture, widely accepted for the better part of ...

An area of mathematics that integrates algebraic geometry and number theory to study solutions of polynomial equations. Manin's Conjecture: A conjecture hypothesising the asymptotic distribution ...

Raskin led a nine-person team that proved the geometric portion of the Langlands conjectures, a theoretical framework for fundamental relationships between three branches of math: number theory, ...

This is also the case with the innocent-looking “Kakeya conjecture,” which relates to the question of how to rotate a needle in such a way that it takes up as little space as possible.

‘Nasty’ Geometry Breaks a Decades-Old Tiling Conjecture Security Politics Gear Backchannel Business Science Culture Ideas Merch ...

Since the conjecture was already known to be true in one and two ... “There does seem to be this emerging sort of principle that higher-dimensional geometry is just nasty,” Tao said. “That pathologies ...